All categories

4 years ago

If 4(x-2/3)=-18, what is the value of 2x?

Mathematics

1 answer:

Reika [66]4 years ago

4 0

Divide 18 by 2. you will get 6 so the value of 2x is 6

You might be interested in

in the figure below trianglePQM and triangleQRP are right triangles. the measure of lineQM is 6 and the measure of lineQP is 8.

Kipish [7]

Answer:

Option 4 is correct. The length of PR is 6.4 units.

Step-by-step explanation:

From the given figure it is noticed that the triangle PQR and triangle MQR.

Let the length of PR be x.

Pythagoras formula

$hypotenuse^2=base^2+perpendicular^2$

Use pythagoras formula for triangle PQM.

$PM^2=QM^2+PQ^2$

$PM^2=(6)^2+(8)^2$

$PM^2=36+64$

$PM^2=100$

$PM=10$

The value of PM is 10. The length of PR is x, so the length of MR is (10-x).

Use pythagoras formula for triangle PQR.

$PQ^2=QR^2+PR^2$

$(8)^2=QR^2+x^2$

$64-x^2=QR^2$ .....(1)

Use pythagoras formula for triangle MQR.

$MQ^2=QR^2+MR^2$

$(6)^2=QR^2+(10-x)^2$

$36=QR^2+x^2-20x+100$

$36-x^2+20x-100=QR^2$ .... (2)

From equation (1) and (2) we get

$36-x^2+20x-100=64-x^2$

$20x-64=64$

$20x=128$

$x=6.4$

Therefore length of PR is 6.4 units and option 4 is correct.

3 0

3 years ago

Solve two step equations 18=-1/2x-7

lana66690 [7]

Answer:

X=-50

Step-by-step explanation:

18=-1/2x-7

-1/2x=18+7...... this is first step

X=25/(-1/2)...... the 2nd step

X=-50

7 0

3 years ago

What is the angle of pdh

s344n2d4d5 [400]

PDH+HDF=180
PDH+129=180
PDH= 51

3 0

4 years ago

Let $S = 2010 + 2011 + \cdots + 4018$. Compute the residue of $S$, modulo 2009.

Yakvenalex [24]

Notice that

2010 ≡ 1 mod 2009

2011 ≡ 2 mod 2009

2012 ≡ 3 mod 2009

...

4017 ≡ 2008 mod 2009

4018 ≡ 0 mod 2009

So really, <em>S</em> is just the sum of the first 2008 positive integers:

$S=\displaystyle\sum_{n=1}^{2008}n=\frac{2008\cdot2009}2$

where we invoke the formula

$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2$

and so <em>S</em> ≡ 0 mod 2009.

8 0

3 years ago

A triangle XYZ has its vertices at X(2, 4), Y(6,-4), and Z(-4,1). What is the perimeter of the triangle XYZ?

svp [43]

Answer:

Step-by-step explanation:

8 0

3 years ago